By Jr, Waldyr A. Rodrigues, Edmundo Capelas de Oliveira
This ebook is an exposition of the algebra and calculus of differential
forms, of the Clifford and Spin-Clifford package deal formalisms, and of vistas to a
formulation of vital innovations of differential geometry quintessential for an
in-depth realizing of space-time physics.
The formalism discloses the hidden geometrical nature of spinor fields.
Maxwell, Dirac and Einstein fields are proven to have representatives via objects
of an identical mathematical nature, particularly sections of an acceptable Clifford
bundle. This process unearths team spirit in range and indicates relationships
that are hidden within the ordinary formalisms and opens new paths for research.
This completely revised moment version additionally provides 3 new chapters: at the Clifford
bundle method of the Riemannian or semi-Riemannian differential geometry of
branes; on Komar currents within the context of the final Relativity thought; and
an research of the similarities and major alterations among Dirac, Majorana
and ELKO spinor fields.
The routines with suggestions, the
comprehensive record of mathematical symbols, and the checklist of acronyms and
abbreviations are supplied for self-study for college kids in addition to for classes.
From the reports of the first
“The textual content is written in a very
readable demeanour and is complemented with lots of worked-out routines which
are within the form of prolonged examples. ... their ebook function a
textbook for graduate scholars in physics or mathematics." (Alberto
Molgado, Mathematical reports, 2008 k)